We're dividing 21724207 by 513 
We want to figure out the number of times 21724207 can be divided by 513.

Going ahead to step 1:
If we divide 2 by 513, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 513

Going ahead to step 2:
513 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 513

Going ahead to step 3:
513 can be fit into 217 0 times, resulting in a remainder of 217.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 217 after subtracting 0 from 217.
Grab the next digit (2) from the dividend, add it to 217, then carry on: 2172 / 513

Step 4:
When dividing 2172 by 513, we get 4 with a remainder of 120.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 2052 away from 2172, we end up with 120.
Bring next digit (4) of the dividend behind the 120 and repeat the process: 1204 / 513

Advancing to step 5:
513 goes into 1204 2 times with a remainder of 178.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we subtract 1026 from 1204, we get 178.
Bring next digit (2) of the dividend behind the 178 and repeat the process: 1782 / 513

Let's proceed to step 6:
The number 513 fits into 1782 3 times, leaving a remainder of 243.
Write down 3 as next digit of the result. 
Result so far: 423.0
If we subtract 1539 from 1782, we get 243.
Include the next digit (0) from the dividend after 243, then repeat: 2430 / 513

On to step 7:
513 can be fit into 2430 4 times, resulting in a remainder of 378.
Write down 4 as next digit of the result. 
Result so far: 4234.0
The remainder is 378 after subtracting 2052 from 2430.
Fetch the next digit (7) from the dividend, attach it to 378 and continue: 3787 / 513

On to step 8:
513 goes into 3787 7 times with a remainder of 196.
Put 7 as the next digit of the answer. 
Result so far: 42347.0
If we take 3591 away from 3787, we end up with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Moving on to step 9:
513 goes into 1960 3 times with a remainder of 421.
The number 3 becomes the next digit in our result. 
Result so far: 42347.3
Deduct 1539 from 1960 and we're left with 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Let's proceed to step 10:
The number 513 fits into 4210 8 times, leaving a remainder of 106.
Use 8 as the next digit of our solution. 
Result so far: 42347.38
Subtract 4104 from 4210 to get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

On to step 11:
If we divide 1060 by 513, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 42347.382
Deduct 1026 from 1060 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 12:
513 can be fit into 340 0 times, resulting in a remainder of 340.
Put 0 as the next digit of the answer. 
Result so far: 42347.382
If we take 0 away from 340, we end up with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

On to step 13:
If we divide 3400 by 513, we get 6 and a remainder of 322.
Record the quotient 6 as the next digit in the result. 
Result so far: 42347.38206
Subtract 3078 from 3400 to get 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Moving on to step 14:
513 can be fit into 3220 6 times, resulting in a remainder of 142.
The next digit of our result is 6. 
Result so far: 42347.382066
The remainder is 142 after subtracting 3078 from 3220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Our division results in 42347.382066 with a remaining 1.42e-05.